US7129477B2 - Method of processing data from a dual detector LWD density logging instrument coupled with an acoustic standoff measurement - Google Patents
Method of processing data from a dual detector LWD density logging instrument coupled with an acoustic standoff measurement Download PDFInfo
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- US7129477B2 US7129477B2 US10/400,402 US40040203A US7129477B2 US 7129477 B2 US7129477 B2 US 7129477B2 US 40040203 A US40040203 A US 40040203A US 7129477 B2 US7129477 B2 US 7129477B2
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01V—GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
- G01V5/00—Prospecting or detecting by the use of nuclear radiation, e.g. of natural or induced radioactivity
- G01V5/04—Prospecting or detecting by the use of nuclear radiation, e.g. of natural or induced radioactivity specially adapted for well-logging
- G01V5/08—Prospecting or detecting by the use of nuclear radiation, e.g. of natural or induced radioactivity specially adapted for well-logging using primary nuclear radiation sources or X-rays
- G01V5/10—Prospecting or detecting by the use of nuclear radiation, e.g. of natural or induced radioactivity specially adapted for well-logging using primary nuclear radiation sources or X-rays using neutron sources
- G01V5/107—Prospecting or detecting by the use of nuclear radiation, e.g. of natural or induced radioactivity specially adapted for well-logging using primary nuclear radiation sources or X-rays using neutron sources and detecting reflected or back-scattered neutrons
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01V—GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
- G01V5/00—Prospecting or detecting by the use of nuclear radiation, e.g. of natural or induced radioactivity
- G01V5/04—Prospecting or detecting by the use of nuclear radiation, e.g. of natural or induced radioactivity specially adapted for well-logging
- G01V5/08—Prospecting or detecting by the use of nuclear radiation, e.g. of natural or induced radioactivity specially adapted for well-logging using primary nuclear radiation sources or X-rays
- G01V5/12—Prospecting or detecting by the use of nuclear radiation, e.g. of natural or induced radioactivity specially adapted for well-logging using primary nuclear radiation sources or X-rays using gamma or X-ray sources
- G01V5/125—Prospecting or detecting by the use of nuclear radiation, e.g. of natural or induced radioactivity specially adapted for well-logging using primary nuclear radiation sources or X-rays using gamma or X-ray sources and detecting the secondary gamma- or X-rays in different places along the bore hole
Definitions
- This invention relates generally to borehole logging apparatus and methods for performing nuclear radiation based measurements. More particularly, this invention relates to a new and improved apparatus for effecting formation density logging in real time using gamma rays in a measurement-while-drilling (MWD) tool.
- MWD measurement-while-drilling
- Oil well logging has been known for many years and provides an oil and gas well driller with information about the particular earth formation being drilled.
- a probe known as a sonde is lowered into the borehole and used to determine some characteristic of the formations which the well has traversed.
- the probe is typically a hermetically sealed steel cylinder which hangs at the end of a long cable which gives mechanical support to the sonde and provides power to the instrumentation inside the sonde.
- the cable also provides communication channels for sending information up to the surface. It thus becomes possible to measure some parameter of the earth's formations as a function of depth, that is, while the sonde is being pulled uphole.
- Such “wireline” measurements are normally done in real time (however, these measurements are taken long after the actual drilling has taken place).
- a wireline sonde usually transmits energy into the formation as well as a suitable receiver for detecting the same energy returning from the formation. These could include resistivity, acoustic, or nuclear measurements.
- the present invention is discussed with reference to a density measurement tool that emits nuclear energy, and more particularly gamma rays, but the method of the present invention is applicable to other types of logging instruments as well.
- Wireline gamma ray density probes are well known and comprise devices incorporating a gamma ray source and a gamma ray detector, shielded from each other to prevent counting of radiation emitted directly from the source.
- gamma rays or photons
- photoelectric absorption and pair production phenomena the particular photons involved in the interacting are removed from the gamma ray beam.
- the involved photon loses some of its energy while changing its original direction of travel, the loss being a function of the scattering angle.
- Some of the photons emitted from the source into the sample are accordingly scattered toward the detector. Many of these never reach the detector, since their direction is changed by a second Compton scattering, or they are absorbed by the photoelectric absorption process of the pair production process.
- the scattered photons that reach the detector and interact with it are counted by the electronic equipment associated with the detector.
- Examples of prior art wireline density devices are disclosed in U.S. Pat. Nos. 3,202,822; 3,321,625; 3,846,631; 3,858,037, 3,864,569 and 4,628,202.
- Wireline formation evaluation tools such as the aforementioned gamma ray density tools have many drawbacks and disadvantages including loss of drilling time, the expense and delay involved in tripping the drillstring so as to enable the wireline to be lowered into the borehole and both the build up of a substantial mud cake and invasion of the formation by the drilling fluids during the time period between drilling and taking measurements.
- An improvement over these prior art techniques is the art of measurement-while-drilling (MWD) in which many of the characteristics of the formation are determined substantially contemporaneously with the drilling of the borehole.
- MWD measurement-while-drilling
- Measurement-while-drilling logging either partly or totally eliminates the necessity of interrupting the drilling operation to remove the drillstring from the hole in order to make the necessary measurements by wireline techniques.
- this information on a real time basis provides substantial safety advantages for the drilling operation.
- MWD logging tools One potential problem with MWD logging tools is that the measurements are typically made while the tool is rotating. Since the measurements are made shortly after the drillbit has drilled the borehole, washouts are less of a problem than in wireline logging. Nevertheless, there can be some variations in the spacing between the logging tool and the borehole wall (“standoff”) with azimuth. Nuclear measurements are particularly degraded by large standoffs due to the scattering produced by borehole fluids between the tool and the formation.
- U.S. Pat. No. 5,397,893 to Minette teaches a method for analyzing data from a measurement-while-drilling (MWD) formation evaluation logging tool which compensates for rotation of the logging tool (along with the rest of the drillstring) during measurement periods.
- the density measurement is combined with the measurement from a borehole caliper, preferably an acoustic caliper.
- the acoustic caliper continuously measures the standoff as the tool is rotating around the borehole. If the caliper is aligned with the density source and detectors, this gives a determination of the standoff in front of the detectors at any given time.
- This information is used to separate the density data into a number of bins based on the amount of standoff. After a pre-set time interval, the density measurement can then be made.
- the first step in this process is for short space (SS) and long space (LS) densities to be calculated from the data in each bin. Then, these density measurements are combined in a manner that minimizes the total error in the density calculation.
- This correction is applied using the “spine and rib” algorithm and graphs such as that shown in FIG. 1 .
- the abscissa 1 is the difference between the LS and SS densities while the ordinate 3 is the correction that is applied to the LS density to give a corrected density using the curve 5 .
- U.S. Pat. No. 5,513,528 to Holenka et al teaches a method and apparatus for measuring formation characteristics as a function of azimuth about the borehole.
- the measurement apparatus includes a logging while drilling tool which turns in the borehole while drilling.
- the down vector of the tool is derived first by determining an angle ⁇ between a vector to the earth's north magnetic pole, as referenced to the cross sectional plane of a measuring while drilling (MWD) tool and a gravity down vector as referenced in said plane.
- the logging while drilling (LWD) tool includes magnetometers and accelerometers placed orthogonally in a cross-sectional plane. Using the magnetometers and/or accelerometer measurements, the toolface angle can usually be determined.
- the angle ⁇ is transmitted to the logging while drilling tool thereby allowing a continuous determination of the gravity down position in the logging while drilling tool.
- Quadrants that is, angular distance segments, are measured from the down vector. Referring to FIG. 2 , an assumption is made that the down vector defines a situation in which the standoff is at a minimum, allowing for a good spine and rib correction.
- a drawback of the Holenka method is that the assumption of minimum standoff is not necessarily satisfied, so that the down position may in fact correspond to a significant standoff: without a standoff correction and the results may be erroneous.
- the standoff will generally be uniform with azimuth.
- Holenka U.S. Pat. No. 5,513,5278
- Edwards U.S. Pat. No. 6,307,199
- this can only be a qualitative measurement and the absolute density measurements may be suspect.
- the spine and rib correction method used in Kurkoski and in other prior art methods as illustrated in FIG. 1 determines by empirical methods a correction to the density measurement made by the long spaced detector (LS) using the difference between the LS and the short spaced detector SS measurements. Implicit in such prior art methods is the assumption that the spine and rib is uniquely determined by a single correction. The spine and rib is usually determined under laboratory conditions with the tool immersed in water. In reality, there is more than one spine and rib relation and the actual correction to be applied depends upon numerous factors including the standoff and the composition of the mud. As would be known to those versed in the art, drilling mud includes minerals such as Barite that have a significant gamma ray scattering. As a result of this, it is commonly found that even after applying a single spine and rib correction, there is a significant variation in corrected density measurements with standoff.
- the present invention includes a logging-while-drilling method of determining azimuthal variations of density in a borehole.
- a logging tool is conveyed on a drill collar includes a long spaced (LS) and a short spaced (SS) nuclear sensor. Measurements are made using the nuclear sensors on the logging tool over a time interval while rotating the tool with the drill collar. Standoffs corresponding to each of said LS and SS measurements are determined. A plurality of standoff bins is defined using measurements made by a standoff measuring device.
- a processor is used for determining from the LS and SS measurements a corrected density that compensates for the standoff effects.
- the standoff measurements are made using an acoustic caliper. Within each standoff bin, a compensated density is determined using the LS and SS measurements and the associated standoff. In a preferred embodiment of the invention, the standoff corrections are applied using a regression technique.
- the MWD tool is also provided with a magnetometer or other direction sensitive device.
- each of the standoff bins are further subdivided into azimuthal bins defining an azimuthal sector around the tool. Compensated density determinations within an azimuthal sector are combined to give an azimuthal bulk density measurement. This difference may be used for controlling the drilling direction or as an indicator of proximity to a nearby interface.
- FIG. 1 shows an example of how density measurements made from a long spaced and a short spaced tool are combined to give a corrected density.
- FIG. 2 shows an idealized situation in which a rotating tool in a wellbore has a minimum standoff when the tool is at the bottom of the wellbore.
- FIG. 3 illustrates the arrangement of the nuclear sensors on a logging-while-drilling device.
- FIG. 4 a shows an exemplary configuration of calipers and magnetometer on a downhole logging tool.
- FIG. 4 b shows the distribution of standoff bins generated by the exemplary tool of FIG. 4 a.
- FIG. 5 shows an example of how the method of the present invention gives results comparable to those obtained subsequently using a wireline logging tool in the same borehole.
- FIG. 6 shows results of using the method of the present invention.
- FIG. 3 a diagram of the basic components for an exemplary gamma-ray density tool.
- This tool comprises an upper section of a bottom hole assembly including a drill collar 110 .
- the logging tool of the present invention contains a gamma-ray source 114 and two spaced gamma-ray detector assemblies 116 and 118 . All three components are placed along a single axis that has been located parallel to the axis of the tool.
- the detector 116 closest to the gamma-ray source will be referred to as the “short space detector” and the one farthest away 118 is referred to as the “long space detector”.
- Gamma-ray shielding (not shown) is located between detector assemblies 116 , 118 and source 114 .
- the acoustic caliper (A 1 ) 120 is inline and close to the gamma detectors (LS & SS).
- a layer of drilling fluid (mud) is present between the formation and the detector assemblies and source.
- Also shown in FIG. 3 are the lower section of the bottomhole assembly 122 and drill bit 124 and one or more additional sensor assemblies 112 .
- FIG. 4 a illustrates cross section of a preferred acoustic caliper device.
- Four sensors R 1 , R 2 , R 3 and R 4 are shown circumferentially disposed around the drill collar with an azimuthal separation of 90°. Each sensor uses acoustic measurements to determine a travel time to the closest point on the borehole. For such a caliper, a commonly output measurement in well logging is the quantity
- T drill collar (tool) diameter
- S 1 is a simple caliper
- S x-axis is a simple caliper in the x axis
- S y-axis is a simple caliper in the y axis.
- the acoustic sensor R 1 is in the same azimuthal position as are the gamma ray detector assemblies shown in FIG. 3 .
- the sensor arrangement includes a magnetometer 134 as shown in FIG. 4 a.
- Magnetometer M 1 makes measurements of the direction of the earth's magnetic field. Except for the rare case wherein the borehole is being drilled along the direction of the earth's magnetic field, the magnetometer output in conjunction with borehole survey information can be used to determine the relative orientation of the sensor R 1 to the vertical.
- the standoff bins shown in FIG. 4 b may be further subdivided into azimuthal and sectors (not shown). Details of borehole surveying methods would be known to those versed in the art and are not discussed here.
- Counts from each NaI (gamma) detector are binned by tool stand-off.
- this method of binning combined with a traditional (single) spine and rib technique provides a measurement in larger boreholes that is better than one that does not use a standoff measurements. Binning compensates for BHA whirl and enlarged hole. The success of the technique depends on having a good detector count rate.
- a gamma ray device produces accurate measurements only in a statistical sense and that simply by binning (and optionally further subdividing the measurements by azimuth), the statistics may be unreliable if the count within each region is too small.
- the present invention includes a gamma ray detector that is larger than prior art detectors. Also detector spacing, shielding, and collimation are selected to maximize response accuracy and minimize statistical effects. This increases the number of counts within each standoff bin and within each azimuthal range.
- an acquisition period typically lasting at least 10 seconds is defined. It is to be noted that shorter periods may be used at the risk of getting poorer statistics.
- the optimization is done by minimizing the objective function
- N is the total number of bins populated by data in a particular acquisition. There should preferably be at least three bins of data in order to solve the system of three linear equations. This gives an estimate of the three parameters with statistical errors. It is to be noted that the estimate of parameter A correlates with the estimates of parameters B and C, since
- measures are taken to reduce the statistical errors (variances) in B and C.
- the parameter A is not used for the final estimate of formation density.
- new parameters B′ and C′ are used to obtain formation density based on the data from different standoff bins:
- the eqn. (7) averages the measurements in different standoff bins compensated by a common rib.
- the eqn. (6) averages the measurements in different standoff bins compensated by an adaptive rib.
- Such an average weights a new data point with a factor of ⁇ 1 and the previous average with a weight of (1 ⁇ ).
- This type of average gives greater weight to the latter points in the series and less weight to the earlier data points.
- the present invention uses data from a small section of the bore-hole preceding the current point were we evaluate parameters b 0 ,b 1 and estimate formation density. After calculating raw values for parameters b 0 ,b 1 another exponential moving average is taken with a different exponential weighting factor of ⁇ . In such an approach both parameters b 0 ,b 1 start with zero and then slowly converge to the true values as more data is acquired. Analogously we calculate and filter c 0 , c 1 . Parameters and ⁇ and ⁇ have to be chosen so that statistical error in ⁇ final due to statistical errors in parameters B and C is much less than the statistical error of the raw density measurement.
- the statistical error ⁇ raw ⁇ square root over (var( ⁇ raw )) ⁇ of the raw density measurement is a function of the variances of the density measurements in individual standoff bins, given by
- the variance of the raw density measurement ⁇ raw is given by
- N SS,k is the number of counts in bin k for the SS detector.
- the statistical error of the final density measurements is given by
- ⁇ final ⁇ raw 2 + ⁇ k ⁇ ⁇ w k 2 ⁇ ( var ⁇ ( B ) ⁇ h k 2 + var ⁇ ( C ) ⁇ h k 4 ) ( 16 )
- w k is the weight of the k-th bin in the final density measurements.
- Parameters ⁇ and ⁇ have to be chosen small enough to ensure that sufficient acquisition time is spent while optimizing b 0 ,b 1 , c 0 and c 1 .
- the statistical noise will propagate to the final density estimate and will be comparable to the statistical noise of the raw density measurement. Once more data becomes available, this component of statistical noise vanishes, while the optimized density measurement becomes closer to zero standoff density.
- the present invention may be modified. Specifically, when only one bin populated neither B nor C can be evaluated. Consequently, the bin size is reduced so that data will fall into more than one bin. If all the data fall within the two bins with the smallest standoff, then only the parameter B is used in the adaptive method. If data fall into three bins with smallest standoff, both B and C can be estimated but the error in C will be large: hence a smaller weight is assigned to C, when it is used in the filter. If four bins of data are available with adequate statistics, then no modification needs to be made. Finally, if no data is available with the two smallest standoff bins, neither B nor C can be evaluated.
- the method of the present invention has been described with reference to a gamma ray logging instrument used for determination of the formation density.
- the method is equally applicable for determining porosity of earth formations using a neutron source and two spaced apart detectors.
- the points denoted by 303 show actual field results using the method of the present invention in a MWD device as described above for determination of formation density.
- the points denoted by 301 show densities obtained subsequent to the drilling of the borehole with a wireline device, i.e., with substantially zero stand off.
- the MWD measurements are different from the more accurate wireline measurements.
- the MWD corrected measurements track the wireline measurements very closely.
Abstract
Description
where the xi's are standoff measurements made by the calipers R1, R2, R3 and R4 respectively, T is drill collar (tool) diameter, S1 is a simple caliper, Sx-axis is a simple caliper in the x axis, Sy-axis is a simple caliper in the y axis. The acoustic sensor R1 is in the same azimuthal position as are the gamma ray detector assemblies shown in
ρk =A+B·h k +C·h k 2 (2)
where A is the first density estimate at zero standoff, hk is the standoff and B and C are fitting parameters. It is to be noted that instead of a quadratic fit of the form given by eq. (2), other types of fitting may also be used.
This minimization is done by solution of the linear equations
In eq. (3), N is the total number of bins populated by data in a particular acquisition. There should preferably be at least three bins of data in order to solve the system of three linear equations. This gives an estimate of the three parameters with statistical errors. It is to be noted that the estimate of parameter A correlates with the estimates of parameters B and C, since
Consequently, any statistical error in B or C will propagate into the estimate of A.
while the raw density measurement is given by
The measurements may suffer from a systematic shift due to main rib under- or over-compensation for the effect of drilling fluid. It can be shown that the above weighting scheme minimizes the variance of ρfinal and ρraw. The eqn. (7) averages the measurements in different standoff bins compensated by a common rib. The eqn. (6) averages the measurements in different standoff bins compensated by an adaptive rib. In the present invention, the adaptive rib is obtained by using a common rib defined by the curves such as that shown in
Δρ=f(ρLS−ρSS)−B′h k −C′h k 2 (8)
B=b 0 +b 1·ρf
and
C=c 0 +c 1ρf (9)
The slope and intercept of these linear dependencies are defined by the properties of mud (mud density and photo-electric cross section), which slowly vary with depth. The parameters b0, b1, c0, and c1 are quasi-invariant. Therefore a strong filter can be applied to the raw estimates of these parameters. The initial approximations for these parameters are zeros. A first acquisition with sufficient number of standoff bins populated is used to obtain a raw estimate of parameters A, B and C. These parameters are then fed to filters for b0, b1, c0, and c1. Outputs of the filtered values of b0, b1, c0, and c1, together with the raw estimate of formation density, A, are then used to update parameters B and C to obtain B′ and C′. In turn, B′ and C′ are used to get an initial estimate final of the density using eq. (7). Then the procedure is repeated now using ρfinal instead of A in eq. (7) and the second estimate of ρfinal is obtained. The filtering operation is discussed next.
where the symbol < > denotes an averaging process. In a preferred embodiment of the invention, instead of simple average over all the points an exponential moving average with a weighting factor α is used. Such an average weights a new data point with a factor of α<<1 and the previous average with a weight of (1−α). This type of average gives greater weight to the latter points in the series and less weight to the earlier data points. This type of averaging may be expressed as follows:
<x> k =αx k+(1−α)<x> k−1 (11).
where x=ρLS−ρSS and ∂f/∂x is the slope of the common rib as used in eq.(8) above. The variance of the raw density measurement ρraw is given by
The standard deviations of the SS detector for bin k is given by
where NSS,k is the number of counts in bin k for the SS detector. The count rate for bin k of the SS detector is given by nSS,k=NSS,k/Tk where Tk is the time in bin k. The SS density is defined by
ln(n SS,k)=B SS −A SSρSS,k (15).
Similar expressions exist for the long spaced bin. The statistical error of the final density measurements is given by
where wk is the weight of the k-th bin in the final density measurements. When a sufficiently large amount of data have been acquired, σfinal approaches σraw.
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US20090196120A1 (en) * | 2007-08-29 | 2009-08-06 | Baker Hughes Incorporated | Downhole Measurements of Mud Acoustic Velocity |
US7587936B2 (en) * | 2007-02-01 | 2009-09-15 | Smith International Inc. | Apparatus and method for determining drilling fluid acoustic properties |
US20100076688A1 (en) * | 2007-04-12 | 2010-03-25 | Halliburton Energy Services, Inc. | Borehole characterization |
US20100145621A1 (en) * | 2007-04-10 | 2010-06-10 | Halliburton Energy Services ,Inc. | Combining lwd measurements from different azimuths |
US20120326017A1 (en) * | 2011-06-22 | 2012-12-27 | Baker Hughes Incorporated | Method of calculating formation characteristics |
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US7809508B2 (en) * | 2006-06-19 | 2010-10-05 | Schlumberger Technology Corporation | Standoff correction for LWD density measurement |
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- 2003-04-03 CA CA002481096A patent/CA2481096C/en not_active Expired - Fee Related
- 2003-04-03 EP EP03718176A patent/EP1490713B1/en not_active Expired - Lifetime
- 2003-04-03 DE DE60309146T patent/DE60309146T2/en not_active Expired - Lifetime
- 2003-04-03 WO PCT/US2003/010167 patent/WO2003085419A1/en active IP Right Grant
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US7587936B2 (en) * | 2007-02-01 | 2009-09-15 | Smith International Inc. | Apparatus and method for determining drilling fluid acoustic properties |
US20100145621A1 (en) * | 2007-04-10 | 2010-06-10 | Halliburton Energy Services ,Inc. | Combining lwd measurements from different azimuths |
US8321132B2 (en) * | 2007-04-10 | 2012-11-27 | Halliburton Energy Services, Inc. | Combining LWD measurements from different azimuths |
US20100076688A1 (en) * | 2007-04-12 | 2010-03-25 | Halliburton Energy Services, Inc. | Borehole characterization |
US9354050B2 (en) * | 2007-04-12 | 2016-05-31 | Halliburton Energy Services, Inc. | Borehole characterization |
US20090196120A1 (en) * | 2007-08-29 | 2009-08-06 | Baker Hughes Incorporated | Downhole Measurements of Mud Acoustic Velocity |
US8130591B2 (en) | 2007-08-29 | 2012-03-06 | Baker Hughes Incorporated | Downhole measurements of mud acoustic velocity |
US20120326017A1 (en) * | 2011-06-22 | 2012-12-27 | Baker Hughes Incorporated | Method of calculating formation characteristics |
Also Published As
Publication number | Publication date |
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DE60309146T2 (en) | 2007-08-30 |
US20040021066A1 (en) | 2004-02-05 |
DE60309146D1 (en) | 2006-11-30 |
CA2481096C (en) | 2009-01-06 |
NO335569B1 (en) | 2014-12-29 |
NO20044532L (en) | 2004-12-30 |
AU2003222182A1 (en) | 2003-10-20 |
WO2003085419A1 (en) | 2003-10-16 |
EP1490713B1 (en) | 2006-10-18 |
CA2481096A1 (en) | 2003-10-16 |
EP1490713A1 (en) | 2004-12-29 |
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